Erdős-Rényi random graphs + forest fires = self-organized criticality

Balazs Rath, Balint A Toth

Research output: Contribution to journalArticle (Academic Journal)peer-review

31 Citations (Scopus)


We modify the usual Erdos-Renyi random graph evolution by letting connected clusters 'burn down' (i.e. fall apart to disconnected single sites) due to a Poisson flow of lightnings. In a range of the intensity of rate of lightnings the system sticks to a permanent.
Original languageEnglish
Article number45
Pages (from-to)1290-1327
Number of pages38
JournalElectronic Journal of Probability
Publication statusPublished - 15 Jun 2009


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